LP solutions to the parameterized Fredholm integral equations associated with Chandrasekhar kernels

Abstract

ABSTRACT In this article, we study the solution of the Fredholm integral equation with parameters. On the one hand, we use Hilbert-type inequality to study Chandrasekhar-type integral operators, generalize the reachability results for the norm of the Chandrasekhar integral operator, and establish the existence and uniqueness results of the solutions of Chandrasekhar-type integral equations with parameters. On the other hand, we develop an iterative kernel technique for integral equations in infinite intervals, and construct series solutions of general Fredholm integral equations with parameters in different spaces.